Galois group search results

Results (12 matches)

 

Label	Name	Order	Parity	Solvable	Nil. class	Conj. classes	Subfields	Low Degree Siblings
9T14	$C_3^2:Q_8$	$72$	$1$	✓	$-1$	$6$		12T47, 18T35 x 3, 24T82, 36T55
9T15	$C_3^2:C_8$	$72$	$-1$	✓	$-1$	$9$		12T46, 18T28, 24T81, 36T49
9T16	$S_3^2:C_2$	$72$	$-1$	✓	$-1$	$9$		6T13 x 2, 12T34 x 2, 12T35 x 2, 12T36 x 2, 18T34 x 2, 18T36, 24T72 x 2, 36T53, 36T54 x 2
9T17	$C_3 \wr C_3 $	$81$	$1$	✓	$3$	$17$	$C_3$	9T17 x 2, 27T19, 27T21, 27T27 x 3
9T18	$C_3^2 : D_{6} $	$108$	$-1$	✓	$-1$	$11$	$S_3$	9T18, 18T51 x 2, 18T55 x 2, 18T56, 18T57 x 2, 27T29, 36T87 x 2, 36T90
10T8	$C_2^4 : C_5$	$80$	$1$	✓	$-1$	$8$	$C_5$	10T8 x 2, 16T178, 20T17 x 6, 20T23, 40T57 x 3
10T9	$D_5^2$	$100$	$-1$	✓	$-1$	$16$	$C_2$	10T9, 20T28 x 2, 25T12
10T10	$C_5^2 : C_4$	$100$	$-1$	✓	$-1$	$10$	$C_2$	10T10, 20T27 x 2, 25T10
10T11	$A_5\times C_2$	$120$	$-1$		$-1$	$10$	$C_2$, $A_5$	12T75, 12T76, 20T31, 20T36, 24T203, 30T29, 30T30, 40T61
10T12	$S_5$	$120$	$-1$		$-1$	$7$	$C_2$, $S_5$	5T5, 6T14, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
10T13	$S_5$	$120$	$-1$		$-1$	$7$		5T5, 6T14, 10T12, 12T74, 15T10, 20T30, 20T32, 20T35, 24T202, 30T22, 30T25, 30T27, 40T62
11T4	$F_{11}$	$110$	$-1$	✓	$-1$	$11$		22T4

 

Results are complete for degrees $\leq 23$.